Gauss's Law Simulation
Gauss's law is powerful precisely because the answer does not depend on the shape of the surface you choose. This simulation lets you draw different Gaussian surfaces around the same charge distribution and confirms that the flux comes out the same every time.
How to use this simulation
- Place point charges inside and outside the surface
- Switch between spherical, cylindrical and irregular Gaussian surfaces
- Resize and reposition the surface
What to look for
- Flux depends only on enclosed charge, never on the surface's size or shape
- Moving a charge outside the surface drops its contribution to zero
- Field lines from external charges pass straight through, entering and exiting
The physics behind it
Gauss's law states that the total electric flux through any closed surface equals the enclosed charge divided by ε₀: Φ = Q_enclosed/ε₀. Charges outside the surface contribute nothing overall — their field lines enter and leave again. Choosing a surface that matches the symmetry of the charge distribution is what makes the law a practical calculation tool.